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Finding the Fourth Proportional to 901.51, 1,351.20 and 381.34

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Solution

The fourth proportional to 901.51, 1,351.20 and 381.34 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.51 : 1,351.20 = 381.34 : x
  2. Step 2: Convert to fraction form
    901.51/1,351.20 = 381.34/x
  3. Step 3: Cross multiply
    901.51x = 1,351.20 × 381.34
  4. Step 4: Simplify right side
    901.51x = 515,266.61
  5. Step 5: Solve for x
    x = 515,266.61/901.51
  6. Step 6: Final answer
    x = 571.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.